{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:2F4RBJBO6BZUHQUSK2LMDWAPTA","short_pith_number":"pith:2F4RBJBO","canonical_record":{"source":{"id":"quant-ph/0112013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2001-12-03T12:17:25Z","cross_cats_sorted":[],"title_canon_sha256":"0866993001d7fa6b70d1ebbed6f45738c4f65dd1fe0d665cfe3d86b96adda7ca","abstract_canon_sha256":"c5cd359cbaaf818c31735ea76586639be38746cdeff6952ea15d5ed73006e5e4"},"schema_version":"1.0"},"canonical_sha256":"d17910a42ef07343c2925696c1d80f980e6d9e223b0e85b959123a1b9063e1f7","source":{"kind":"arxiv","id":"quant-ph/0112013","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0112013","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0112013v1","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0112013","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"pith_short_12","alias_value":"2F4RBJBO6BZU","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"pith_short_16","alias_value":"2F4RBJBO6BZUHQUS","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"pith_short_8","alias_value":"2F4RBJBO","created_at":"2026-07-04T14:45:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:2F4RBJBO6BZUHQUSK2LMDWAPTA","target":"record","payload":{"canonical_record":{"source":{"id":"quant-ph/0112013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2001-12-03T12:17:25Z","cross_cats_sorted":[],"title_canon_sha256":"0866993001d7fa6b70d1ebbed6f45738c4f65dd1fe0d665cfe3d86b96adda7ca","abstract_canon_sha256":"c5cd359cbaaf818c31735ea76586639be38746cdeff6952ea15d5ed73006e5e4"},"schema_version":"1.0"},"canonical_sha256":"d17910a42ef07343c2925696c1d80f980e6d9e223b0e85b959123a1b9063e1f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:45:51.105701Z","signature_b64":"wmQhxmiL5xbxPJMNGrqpWSWQ4DqzKzeXQ2cxNjEC/6ikqdo6aFGoQxWeaoVYLGXC+Ko88EheAdjmEOpSgnLHCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d17910a42ef07343c2925696c1d80f980e6d9e223b0e85b959123a1b9063e1f7","last_reissued_at":"2026-07-04T14:45:51.105338Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:45:51.105338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"quant-ph/0112013","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:45:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"do6oksQppjilK00fLdLhQ/eqVEVDXldv22CwsbwgZ4DmskuXF/RDBxnVCU9Vvc9ikEaQ3McTyTUW9v3jpwuQCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:36:14.022218Z"},"content_sha256":"b211fa40d84a97d0ccc39b5614587911d7fdda790c9ba59c4d23963d27c22fd0","schema_version":"1.0","event_id":"sha256:b211fa40d84a97d0ccc39b5614587911d7fdda790c9ba59c4d23963d27c22fd0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:2F4RBJBO6BZUHQUSK2LMDWAPTA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Encoded Universality from a Single Physical Interaction","license":"","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"D. Bacon, D.P. DiVincenzo, J. Kempe, K.B. Whaley","submitted_at":"2001-12-03T12:17:25Z","abstract_excerpt":"We present a theoretical analysis of the paradigm of encoded universality, using a Lie algebraic analysis to derive specific conditions under which physical interactions can provide universality. We discuss the significance of the tensor product structure in the quantum circuit model and use this to define the conjoining of encoded qudits. The construction of encoded gates between conjoined qudits is discussed in detail. We illustrate the general procedures with several examples from exchange-only quantum computation. In particular, we extend our earlier results showing universality with the i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0112013","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/quant-ph/0112013/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:45:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lwZqfI46u9RAD8CDNm6qwbdez3pmrZvfG33e4DfYO/A5LwwKz+F4SEytwjh1zJeKQKet3u/LF2+Am+8+9wQhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:36:14.023082Z"},"content_sha256":"9d4faa3ab3390e993553bfeb547b70947853ac9a5becc52509ebc4905c32afe6","schema_version":"1.0","event_id":"sha256:9d4faa3ab3390e993553bfeb547b70947853ac9a5becc52509ebc4905c32afe6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2F4RBJBO6BZUHQUSK2LMDWAPTA/bundle.json","state_url":"https://pith.science/pith/2F4RBJBO6BZUHQUSK2LMDWAPTA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2F4RBJBO6BZUHQUSK2LMDWAPTA/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-17T13:36:14Z","links":{"resolver":"https://pith.science/pith/2F4RBJBO6BZUHQUSK2LMDWAPTA","bundle":"https://pith.science/pith/2F4RBJBO6BZUHQUSK2LMDWAPTA/bundle.json","state":"https://pith.science/pith/2F4RBJBO6BZUHQUSK2LMDWAPTA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2F4RBJBO6BZUHQUSK2LMDWAPTA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:2F4RBJBO6BZUHQUSK2LMDWAPTA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c5cd359cbaaf818c31735ea76586639be38746cdeff6952ea15d5ed73006e5e4","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2001-12-03T12:17:25Z","title_canon_sha256":"0866993001d7fa6b70d1ebbed6f45738c4f65dd1fe0d665cfe3d86b96adda7ca"},"schema_version":"1.0","source":{"id":"quant-ph/0112013","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0112013","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0112013v1","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0112013","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"pith_short_12","alias_value":"2F4RBJBO6BZU","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"pith_short_16","alias_value":"2F4RBJBO6BZUHQUS","created_at":"2026-07-04T14:45:51Z"},{"alias_kind":"pith_short_8","alias_value":"2F4RBJBO","created_at":"2026-07-04T14:45:51Z"}],"graph_snapshots":[{"event_id":"sha256:9d4faa3ab3390e993553bfeb547b70947853ac9a5becc52509ebc4905c32afe6","target":"graph","created_at":"2026-07-04T14:45:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/quant-ph/0112013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a theoretical analysis of the paradigm of encoded universality, using a Lie algebraic analysis to derive specific conditions under which physical interactions can provide universality. We discuss the significance of the tensor product structure in the quantum circuit model and use this to define the conjoining of encoded qudits. The construction of encoded gates between conjoined qudits is discussed in detail. We illustrate the general procedures with several examples from exchange-only quantum computation. In particular, we extend our earlier results showing universality with the i","authors_text":"D. Bacon, D.P. DiVincenzo, J. Kempe, K.B. Whaley","cross_cats":[],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2001-12-03T12:17:25Z","title":"Encoded Universality from a Single Physical Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0112013","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b211fa40d84a97d0ccc39b5614587911d7fdda790c9ba59c4d23963d27c22fd0","target":"record","created_at":"2026-07-04T14:45:51Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c5cd359cbaaf818c31735ea76586639be38746cdeff6952ea15d5ed73006e5e4","cross_cats_sorted":[],"license":"","primary_cat":"quant-ph","submitted_at":"2001-12-03T12:17:25Z","title_canon_sha256":"0866993001d7fa6b70d1ebbed6f45738c4f65dd1fe0d665cfe3d86b96adda7ca"},"schema_version":"1.0","source":{"id":"quant-ph/0112013","kind":"arxiv","version":1}},"canonical_sha256":"d17910a42ef07343c2925696c1d80f980e6d9e223b0e85b959123a1b9063e1f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d17910a42ef07343c2925696c1d80f980e6d9e223b0e85b959123a1b9063e1f7","first_computed_at":"2026-07-04T14:45:51.105338Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:45:51.105338Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wmQhxmiL5xbxPJMNGrqpWSWQ4DqzKzeXQ2cxNjEC/6ikqdo6aFGoQxWeaoVYLGXC+Ko88EheAdjmEOpSgnLHCA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:45:51.105701Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0112013","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b211fa40d84a97d0ccc39b5614587911d7fdda790c9ba59c4d23963d27c22fd0","sha256:9d4faa3ab3390e993553bfeb547b70947853ac9a5becc52509ebc4905c32afe6"],"state_sha256":"aead5535b2275e8b0aace5dc5f48feee6c45c30b0cf15b8172592803aa4cfe4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rkleQKxT6fB1mFhbgC7MoAZAJ0zRIgCjLr5CSiB4/9wOsHto8L1AXgqSUftvNSCD4Kme4Qh00xLALNwroPDRDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T13:36:14.089829Z","bundle_sha256":"7ccced5980b8e93e1bdb9b96381141a6a0a6a7545371d7ba97381de542a0763c"}}